The mountain pass method in the problem on a nontrivial solution of a quasilinear equation with a parameter in \(\mathbb R^N\)

DOI10.1134/S0012266110030109zbMath1193.35068WikidataQ115252553 ScholiaQ115252553MaRDI QIDQ981785

E. A. Sheina

Publication date: 2 July 2010

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

quasilinear elliptic equationmountain pass methodLions concentration-compactness method

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Mountain pass theorem in the problem on a nontrivial solution of a quasilinear equation with a parameter
• Entire solutions of semilinear elliptic equations
• Dual variational methods in critical point theory and applications
• Eigenvalue problems for a quasilinear elliptic equation on \(\mathbb R^n\)
• Multiple positive solutions of quasilinear elliptic equations in R
• Positive solutions for the p-Laplacian: application of the fibrering method
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